Pith Number

pith:D2BPFW55

pith:2008:D2BPFW55NA5327OLOLDB2NEAVR

not attested not anchored not stored refs pending

Higher dimensional algebras via colored PROPs

Donald Yau

arxiv:0809.2161 v1 · 2008-09-12 · math.CT · math-ph · math.AT · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D2BPFW55NA5327OLOLDB2NEAVR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Completeness of qufinite ZXW calculus, a graphical language for finite-dimensional quantum theory

Receipt and verification

First computed	2026-05-18T03:33:38.829567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e82f2dbbd683bbd7dcb72c61d3480ac6d71fe13359832ad67916ce4ef8d39ce

Aliases

arxiv: 0809.2161 · arxiv_version: 0809.2161v1 · doi: 10.48550/arxiv.0809.2161 · pith_short_12: D2BPFW55NA53 · pith_short_16: D2BPFW55NA5327OL · pith_short_8: D2BPFW55

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/D2BPFW55NA5327OLOLDB2NEAVR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1e82f2dbbd683bbd7dcb72c61d3480ac6d71fe13359832ad67916ce4ef8d39ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f39f9caef3d4810710cca285c5f99e9e695e81fb8df59b0bf1523dc9ba1d425d",
    "cross_cats_sorted": [
      "math-ph",
      "math.AT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2008-09-12T14:25:52Z",
    "title_canon_sha256": "1a9ca8c5501f7110242b852091b41dd7043eed887aeab3bd605a6313269b877e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.2161",
    "kind": "arxiv",
    "version": 1
  }
}